Information on Result #631852
Linear OA(3137, 200, F3, 53) (dual of [200, 63, 54]-code), using concatenation of two codes based on
- linear OA(2729, 50, F27, 26) (dual of [50, 21, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2729, 52, F27, 26) (dual of [52, 23, 27]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2729, 52, F27, 26) (dual of [52, 23, 27]-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3136, 199, F3, 52) (dual of [199, 63, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(3137, 100, F3, 2, 53) (dual of [(100, 2), 63, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3137, 66, F3, 3, 53) (dual of [(66, 3), 61, 54]-NRT-code) | [i] | ||